To find the 20th term in this sequence, we can simply keep on adding the common difference all the way until we get up to the 20th term.
The common difference is the number that we are adding or subtracting to reach the next term in the sequence.
Notice that the difference between 15 and 12 is 3.
In other words, 12 + 3 = 15.
That 3 that we are adding is our common difference.
So we know that our first term is 12.
Now we can continue the sequence.
12 ⇒ <em>1st term</em>
15 ⇒ <em>2nd term</em>
18 ⇒ <em>3rd term</em>
21 ⇒ <em>4th term</em>
24 ⇒ <em>5th term</em>
27 ⇒ <em>6th term</em>
30 ⇒ <em>7th term</em>
33 ⇒ <em>8th term</em>
36 ⇒ <em>9th term</em>
39 ⇒ <em>10th term</em>
42 ⇒ <em>11th term</em>
45 ⇒ <em>12th term</em>
48 ⇒ <em>13th term</em>
51 ⇒ <em>14th term</em>
54 ⇒ <em>15th term</em>
57 ⇒ <em>16th term</em>
60 ⇒ <em>17th term</em>
63 ⇒ <em>18th term</em>
66 ⇒ <em>19th term</em>
<u>69 ⇒ </u><u><em>20th term</em></u>
<u><em></em></u>
This means that the 20th term of this arithemtic sequence is 69.
Anwser:
22.5 or 5/22 or 30
Step-by-step Explanation:
-2 and -2
SSS
-2+-2= -4
-4 x 30= -120
-120 divided by 4 is 30
but that’s not a fraction so you do
22.5 or 5/22
-2 x -2 x 30=
<h3>
Answer:</h3>
1. x + 20
2. 0
3. 2x - 8
4. 95x + 10
5. -9x - 6
6. 4x + y - 5
7. -x + 6y + 5
8. x + y - 15
9. x + 4y + 4
<h3>
Step-by-step explanation:</h3>
• When working with variables and numbers, you have to put the variables first (in alphabetical order) and then the numbers.
• To evaluate an algebraic expression, we find the value of the expression when the variable is replaced by a given number.
• To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
• When we are not given a number for the variable in the expression, we have to group like-terms.
- <u>Example:</u> 5x + 6 + 3x - 2 - y
- 1st: group 5x and 3x (add the terms together) = 8x
- 2nd: group 6 and -2 (add the terms together) = 4
- 3rd: Since -y has no like-terms, we can't group it = -y
- Fourth, put the terms in order (variables = alphabetical order and then numbers) = 8x - y + 4
1. 4x + 12 - 3x + 8
- 4x - 3x = 1x = x
- 12 + 8 = 20
- x + 20
2. -8x + 1 + 2x - 1 + 6x
- -8x + 2x + 6x = -8x + 8x = 0
- 1 - 1 = 0
- 0
3. 4x - 3 - 2x - 5
- 4x - 2x = 2x
- -3 - 5 = -8
- 2x - 8
4. 100x + 5 - 5x + 5
- 100x - 5x = 95x
- 5 + 5 = 10
- 95x + 10
5. -4x - 4 - 2 - 5x
- -4x - 5x = -9x
- -4 - 2 = -6
- -9x - 6
6. 2x - 1 + 2x - 4 + y
- 2x + 2x = 4x
- -1 - 4 = -5
- 4x + y - 5
7. 5y - x + 2y - y + 5
- 5y + 2y - y = 5y + 1y = 6y
- -x + 6y + 5
8. -15 + 3y - 3x - 2y + 4x
- 3y - 2y = 1y = y
- -3x + 4x = 1x = x
- x + y - 15
9. 4 - 3y + 3x - 2x - y
- -3y - y = 4y
- 3x - 2x = 1x = x
- x + 4y + 4
Hope I helped you, if I did can you please mark me the Brainliest?
Answer:
A) slope of f(x) = 3 , slope of g(x) = 7
B) y intercept of f(x) is 0 and g(x) is 2
So g(x) has greater y intercept
Step-by-step explanation:
Lets find equation of f(x) using the given table
LEts take two points from the table (0,0) (1,3)
we use equation y=mx+b
where m is the slope and b is the y intercept
we got m = 3, we use (0,0) and find out b
y=mx+b
0 = 3(0) + b
so b=0
So equation for f(x)= 3x +0
slope =3 and y intercept = 0
For equation g(x) = 7x +2 , slope = 7 and y intercept = 2
